منابع مشابه
- Moody Algebras
The conjugacy classes of the involutive automorphisms of the affine Kac-Moody algebras C (1) ℓ for ℓ ≥ 2 are determined using the matrix formulation of automorphisms of an affine Kac-Moody
متن کاملHyperbolic Kac–moody Superalgebras
We present a classification of the hyperbolic Kac–Moody (HKM) superalgebras. The HKM superalgebras of rank r ≥ 3 are finite in number (213) and limited in rank (6). The Dynkin–Kac diagrams and the corresponding simple root systems are determined. We also discuss a class of singular sub(super)algebras obtained by a folding procedure. MSC number: 17B65, 17B67 LAPTH-1068/04 DSF-TH-28/04 math-ph/04...
متن کاملGeometric Kac-Moody Modularity
It is shown how the arithmetic structure of algebraic curves encoded in the HasseWeil L-function can be related to affine Kac-Moody algebras. This result is useful in relating the arithmetic geometry of Calabi-Yau varieties to the underlying exactly solvable theory. In the case of the genus three Fermat curve we identify the Hasse-Weil L-function with the Mellin transform of the twist of a numb...
متن کاملA Theory of Lorentzian Kac–moody Algebras
We present a variant of the Theory of Lorentzian (i. e. with a hyperbolic generalized Cartan matrix) Kac–Moody algebras recently developed by V. A. Gritsenko and the author. It is closely related with and strongly uses results of R. Borcherds. This theory should generalize well-known Theories of finite Kac–Moody algebras (i. e. classical semi-simple Lie algebras corresponding to positive genera...
متن کاملA characterization of generalized Kac - Moody algebras
Generalized Kac-Moody algebras can be described in two ways: either using generators and relations, or as Lie algebras with an almost positive definite symmetric contravariant bilinear form. Unfortunately it is usually hard to check either of these conditions for any naturally occurring Lie algebra. In this paper we give a third characterization of generalized Kac-Moody algebras which is easier...
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ژورنال
عنوان ژورنال: Animals
سال: 2020
ISSN: 2076-2615
DOI: 10.3390/ani10071210